A sample of an unknown substance has a mass of 89.5 g. If 345.2 J of heat are required to heat the substance from 285 K to 305 K, what is the specific heat of the substance?

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Answer 1
Answer:

The specific heat of the unknown sample has been \rm \bold{0.192\;\;J/g^\circ C}.

Specific heat has been defined as the amount of heat required to raise the temperature of 1 gram of substance by 1 degree Celsius.

The specific heat (c) for a substance can be given by:

Q=mc\Delta T ......(i)

Where, the heat required by the substance, Q=345.2\;\text J

The mass of the substance has been, m=89.5\;\text g

The change in temperature of the system has been, \Delta T

The change in temperature has been given as:

\Delta T=T_f-T_i

The initial temperature of the substance, T_i=285\;\text K

The final temperature of the substance, T_f=305\;\text K

Substituting the values for the change in temperature, \Delta T:

\Delta T=305\;-\;285\;K\n\Delta T=20\;\text K

Substituting the values in equation (i):

345.2=89.5\;*\;c\;*\;20\n345.2=1,790c\nc=0.192\rm \;J/g^\circ C

The specific heat of the unknown sample has been \rm \bold{0.192\;\;J/g^\circ C}.

For more information about specific heat, refer to the link:

brainly.com/question/2094845

Answer 2
Answer: The specific heat is the heat needed per unit mass to raise the temperature by 1 degree celsius. So the specific heat = heat/(mass*ΔT) = 345.2/[89.5*(305-285)]=0.193 J/(g*℃). When using ΔT, the unit K and ℃ are the same.

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